2.9 Calculate the energy of photons of a given frequency or wavelength (and vice versa).

What is the formula to calculate the energy of a photon using frequency?

E = h x f

E = Energy of the photon (in joules)

h = Planck's constant (6.626e10-34 J·s)

f = Frequency of the radiation (in Hz)

What is the formula to calculate the energy of a photon using wavelength?

E = h x c / λ

E = Energy of the photon (in joules)

h = Planck's constant (6.626e-34 J·s)

c = Speed of light (3.00e8 m/s)

λ = Wavelength of the radiation (in meters)

Calculate the energy of a photon with a frequency of 5.0e14 Hz

E = h x f

(6.626e-34 J) x (5.0e14 Hz) = 3.31e-19 J

Calculate the energy of a photon with a wavelength of 600 nm = 6.0e-7 m

E = h x c / λ

(6.626e-34 J) x (3.0e8 m/s) / (6.0e-7 m) = 3.31e-19

How is energy related to the wavelength of a photon?

The energy of a photon is inversely proportional to its wavelength. As wavelength increases, energy decreases, and as wavelength decreases, energy increases.